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Some Characterizations of the Properties LB^-∞ and LB∞
摘    要:

关 键 词:对应函数  线性拓扑不变量  Dirichlet表示法  复空间  Frechet空间
收稿时间:7 August 2002

Some Characterizations of the Properties $$ {\widetilde{{ LB}}}^{\infty }$$and LB∞
Authors:Email author" target="_blank">Thuan?Quang?ThaiEmail author
Institution:(1) Department of Mathematics, Pedagogical Institute of Quynhon, 170 An Duong Vuong, Quynhon, Binhdinh, Vietnam
Abstract:The aim of this paper is to give some properties of the linear topological invariant $$
{\widetilde{{LB}}}^{\infty }.$$ Using these results we show that a nuclear Fréchet space F has the property LB if and only if every separately holomorphic function on an open subset U × V of E × F* has a local Dirichlet representation, where E is a nuclear Fréchet space with the property $$
{\widetilde{{LB}}}^{\infty }$$ having a basis.
Keywords:Holomorphic functions  Topological linear invariants  Dirichlet representation
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